Questions in mathematics

Questions in mathematics

[Done] 1. The floor of a rectangular cage has a length 4 feet greater than its width, \( w \). James will increase both dimensions of the floor by 2 feet. Which equation represents the new area, \( N \), of the floor of the cage? A. \( N = w^2 + 4w \) B. \( N = w^2 + 6w \) C. \( N = w^2 + 6w + 8 \) D. \( N = w^2 + 8w + 12 \) 2. Two boys, Shawn and Curtis, went for a walk. Shawn began walking 20 seconds earlier than Curtis. Shawn walked at a speed of 5 feet per second. Curtis walked at a speed of 6 feet per second. For how many seconds had Shawn been walking at the moment when the two boys had walked exactly the same distance?

[Done] Two times Antonio’s age plus three times Sarah’s age equals 34. Sarah’s age is also five times Antonio’s age. How old is Sarah?

[Done] Jerome surveyed 643 skateboarders and found that 209 of them preferred wood skateboards to plastic or aluminum skateboards. Based on the number of people surveyed, what is the most reasonable estimation of the percent of skateboarders who preferred wood skateboards? A. 10% B. 30% C. 40% D. 50%

[Done] Solve the equation below for \( x \): \[ 9(x - 5) = 4x - 5 \]

[Done] If \( P = a^2 + a - 1 \) and \( R = -a - 1 \), which expression represents \( P + R \)? a) \( a^2 + 2 \) b) \( a^2 - 2 \) c) \( a^2 + 2a \) d) \( a^2 + 2a - 2 \)

[Done] determine whether the function y=0.8(2/3)^x represents exponential growth or decay.

[Done] A machine can produce 248 bolts in one hour. Write an expression to describe the number of bolts produced in \( n \) hours.

[Done] Find the value of x in the equation: \[ 6 - 4x = 7x - 9x - 2 \]

[Done] Solve the simultaneous equations: 1. \( 3x - 2y = 9 \) 2. \( 5x - 2y = 7 \)

[Done] How do I solve [tex]x^2 - 8x + 16 = 25[/tex] using perfect factoring patterns?